Führer, Thomas; Heuer, Norbert; Niemi, Antti H. A discontinuous Petrov-Galerkin method for Reissner-Mindlin plates. (English) Zbl 1519.74067 SIAM J. Numer. Anal. 61, No. 2, 995-1017 (2023). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74S05 74K20 74G65 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., SIAM J. Numer. Anal. 61, No. 2, 995--1017 (2023; Zbl 1519.74067) Full Text: DOI arXiv
Gatica, Gabriel N. (ed.); Heuer, Norbert (ed.); Meddahi, Salim (ed.) Numerical analysis & no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968–2019). (English) Zbl 1497.00057 Comput. Methods Appl. Math. 22, No. 4, 751-755 (2022). MSC: 00B15 65-06 01A70 PDFBibTeX XMLCite \textit{G. N. Gatica} (ed.) et al., Comput. Methods Appl. Math. 22, No. 4, 751--755 (2022; Zbl 1497.00057) Full Text: DOI
Führer, Thomas; Heuer, Norbert; Niemi, Antti H. A DPG method for shallow shells. (English) Zbl 1505.74197 Numer. Math. 152, No. 1, 67-99 (2022). MSC: 74S05 74K25 65N30 PDFBibTeX XMLCite \textit{T. Führer} et al., Numer. Math. 152, No. 1, 67--99 (2022; Zbl 1505.74197) Full Text: DOI arXiv
Führer, Thomas; Herrera, Pablo; Heuer, Norbert DPG methods for a fourth-order div problem. (English) Zbl 1497.35193 Comput. Methods Appl. Math. 22, No. 3, 545-562 (2022). MSC: 35J58 65N30 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 22, No. 3, 545--562 (2022; Zbl 1497.35193) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Karkulik, Michael MINRES for second-order PDEs with singular data. (English) Zbl 1491.65136 SIAM J. Numer. Anal. 60, No. 3, 1111-1135 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65K10 35J05 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{T. Führer} et al., SIAM J. Numer. Anal. 60, No. 3, 1111--1135 (2022; Zbl 1491.65136) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Karkulik, Michael Analysis of backward Euler primal DPG methods. (English) Zbl 1476.65299 Comput. Methods Appl. Math. 21, No. 4, 811-826 (2021). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 21, No. 4, 811--826 (2021; Zbl 1476.65299) Full Text: DOI arXiv
Führer, Thomas; García Vera, Carlos; Heuer, Norbert A locking-free DPG scheme for Timoshenko beams. (English) Zbl 1481.74696 Comput. Methods Appl. Math. 21, No. 2, 373-383 (2021). MSC: 74S05 74K10 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 21, No. 2, 373--383 (2021; Zbl 1481.74696) Full Text: DOI arXiv
Demkowicz, Leszek; Führer, Thomas; Heuer, Norbert; Tian, Xiaochuan The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). (English) Zbl 1524.65787 Comput. Math. Appl. 95, 41-66 (2021). MSC: 65N30 65N12 65N15 35J25 74S05 35A15 35B25 65N50 76D07 35Q35 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Math. Appl. 95, 41--66 (2021; Zbl 1524.65787) Full Text: DOI
Führer, Thomas; Heuer, Norbert A robust DPG method for large domains. (English) Zbl 1524.65800 Comput. Math. Appl. 94, 15-27 (2021). MSC: 65N30 74S05 65N12 65N15 74B05 74K20 35Q74 PDFBibTeX XMLCite \textit{T. Führer} and \textit{N. Heuer}, Comput. Math. Appl. 94, 15--27 (2021; Zbl 1524.65800) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Sayas, Francisco-Javier An ultraweak formulation of the Reissner-Mindlin plate bending model and DPG approximation. (English) Zbl 1443.74223 Numer. Math. 145, No. 2, 313-344 (2020). MSC: 74K20 74G65 74S05 35Q74 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., Numer. Math. 145, No. 2, 313--344 (2020; Zbl 1443.74223) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert Fully discrete DPG methods for the Kirchhoff-Love plate bending model. (English) Zbl 1440.74198 Comput. Methods Appl. Mech. Eng. 343, 550-571 (2019). MSC: 74K20 35J57 35Q74 65N30 74S05 PDFBibTeX XMLCite \textit{T. Führer} and \textit{N. Heuer}, Comput. Methods Appl. Mech. Eng. 343, 550--571 (2019; Zbl 1440.74198) Full Text: DOI arXiv
Bertrand, Fleurianne; Demkowicz, Leszek; Gopalakrishnan, Jay; Heuer, Norbert Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods. (English) Zbl 1420.65116 Comput. Methods Appl. Math. 19, No. 3, 395-397 (2019). MSC: 65N30 PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Math. 19, No. 3, 395--397 (2019; Zbl 1420.65116) Full Text: DOI
Führer, Thomas; Heuer, Norbert Optimal quasi-diagonal preconditioners for pseudodifferential operators of order minus two. (English) Zbl 1417.65213 J. Sci. Comput. 79, No. 2, 1161-1181 (2019). MSC: 65N38 35J25 65F35 65N30 PDFBibTeX XMLCite \textit{T. Führer} and \textit{N. Heuer}, J. Sci. Comput. 79, No. 2, 1161--1181 (2019; Zbl 1417.65213) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Niemi, Antti H. An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation. (English) Zbl 1416.74083 Math. Comput. 88, No. 318, 1587-1619 (2019). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 74S05 74K20 74G65 65N12 65N30 PDFBibTeX XMLCite \textit{T. Führer} et al., Math. Comput. 88, No. 318, 1587--1619 (2019; Zbl 1416.74083) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Rodríguez, Rodolfo Combining the DPG method with finite elements. (English) Zbl 1417.65202 Comput. Methods Appl. Math. 18, No. 4, 639-652 (2018). MSC: 65N30 35J20 65N55 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 18, No. 4, 639--652 (2018; Zbl 1417.65202) Full Text: DOI arXiv
Cantin, Pierre; Heuer, Norbert A DPG framework for strongly monotone operators. (English) Zbl 1403.65129 SIAM J. Numer. Anal. 56, No. 5, 2731-2750 (2018). Reviewer: Dana Černá (Liberec) MSC: 65N30 65J15 65N12 47H05 PDFBibTeX XMLCite \textit{P. Cantin} and \textit{N. Heuer}, SIAM J. Numer. Anal. 56, No. 5, 2731--2750 (2018; Zbl 1403.65129) Full Text: DOI
Ervin, V. J.; Heuer, N.; Roop, J. P. Regularity of the solution to 1-D fractional order diffusion equations. (English) Zbl 1394.65145 Math. Comput. 87, No. 313, 2273-2294 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35B65 41A10 33C45 35R11 PDFBibTeX XMLCite \textit{V. J. Ervin} et al., Math. Comput. 87, No. 313, 2273--2294 (2018; Zbl 1394.65145) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert A wirebasket preconditioner for the mortar boundary element method. (English) Zbl 1385.65062 Adv. Comput. Math. 44, No. 1, 23-49 (2018). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65N55 65F08 PDFBibTeX XMLCite \textit{T. Führer} and \textit{N. Heuer}, Adv. Comput. Math. 44, No. 1, 23--49 (2018; Zbl 1385.65062) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert Robust coupling of DPG and BEM for a singularly perturbed transmission problem. (English) Zbl 1405.65148 Comput. Math. Appl. 74, No. 8, 1940-1954 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N30 65N38 65N12 35B25 35J25 PDFBibTeX XMLCite \textit{T. Führer} and \textit{N. Heuer}, Comput. Math. Appl. 74, No. 8, 1940--1954 (2017; Zbl 1405.65148) Full Text: DOI arXiv
Ervin, Vincent J.; Führer, Thomas; Heuer, Norbert; Karkulik, Michael DPG method with optimal test functions for a fractional advection diffusion equation. (English) Zbl 1398.65179 J. Sci. Comput. 72, No. 2, 568-585 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 65L60 65L70 PDFBibTeX XMLCite \textit{V. J. Ervin} et al., J. Sci. Comput. 72, No. 2, 568--585 (2017; Zbl 1398.65179) Full Text: DOI arXiv
Heuer, Norbert; Karkulik, Michael A robust DPG method for singularly perturbed reaction-diffusion problems. (English) Zbl 1362.65125 SIAM J. Numer. Anal. 55, No. 3, 1218-1242 (2017). MSC: 65N30 35B25 35J25 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{M. Karkulik}, SIAM J. Numer. Anal. 55, No. 3, 1218--1242 (2017; Zbl 1362.65125) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Karkulik, Michael On the coupling of DPG and BEM. (English) Zbl 1364.65248 Math. Comput. 86, No. 307, 2261-2284 (2017). MSC: 65N30 35J20 65N38 PDFBibTeX XMLCite \textit{T. Führer} et al., Math. Comput. 86, No. 307, 2261--2284 (2017; Zbl 1364.65248) Full Text: DOI arXiv
Heuer, Norbert; Karkulik, Michael Discontinuous Petrov-Galerkin boundary elements. (English) Zbl 1364.65268 Numer. Math. 135, No. 4, 1011-1043 (2017). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N38 65N30 65N12 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{M. Karkulik}, Numer. Math. 135, No. 4, 1011--1043 (2017; Zbl 1364.65268) Full Text: DOI arXiv
Führer, Thomas; Heuer, Norbert; Sen Gupta, Jhuma A time-stepping DPG scheme for the heat equation. (English) Zbl 1359.65200 Comput. Methods Appl. Math. 17, No. 2, 237-252 (2017). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{T. Führer} et al., Comput. Methods Appl. Math. 17, No. 2, 237--252 (2017; Zbl 1359.65200) Full Text: DOI arXiv
Heuer, Norbert; Salmerón, Gredy A nonconforming domain decomposition approximation for the Helmholtz screen problem with hypersingular operator. (English) Zbl 1357.65281 Numer. Methods Partial Differ. Equations 33, No. 1, 125-141 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65N38 65N55 35J05 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{G. Salmerón}, Numer. Methods Partial Differ. Equations 33, No. 1, 125--141 (2017; Zbl 1357.65281) Full Text: DOI arXiv
Heuer, Norbert; Karkulik, Michael DPG method with optimal test functions for a transmission problem. (English) Zbl 1443.65333 Comput. Math. Appl. 70, No. 5, 1070-1081 (2015). MSC: 65N30 65N38 78M10 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{M. Karkulik}, Comput. Math. Appl. 70, No. 5, 1070--1081 (2015; Zbl 1443.65333) Full Text: DOI arXiv
Feischl, Michael; Führer, Thomas; Heuer, Norbert; Karkulik, Michael; Praetorius, Dirk Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation. (English) Zbl 1348.65172 Arch. Comput. Methods Eng. 22, No. 3, 309-389 (2015). MSC: 65N38 65N50 65N12 65N30 65-02 PDFBibTeX XMLCite \textit{M. Feischl} et al., Arch. Comput. Methods Eng. 22, No. 3, 309--389 (2015; Zbl 1348.65172) Full Text: DOI arXiv
Heuer, Norbert; Karkulik, Michael Adaptive Crouzeix-Raviart boundary element method. (English) Zbl 1326.65166 ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1193-1217 (2015). MSC: 65N38 65N30 65N50 65R20 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{M. Karkulik}, ESAIM, Math. Model. Numer. Anal. 49, No. 4, 1193--1217 (2015; Zbl 1326.65166) Full Text: DOI arXiv
Heuer, Norbert; Karkulik, Michael; Sayas, Francisco-Javier Note on discontinuous trace approximation in the practical DPG method. (English) Zbl 1364.65250 Comput. Math. Appl. 68, No. 11, 1562-1568 (2014). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{N. Heuer} et al., Comput. Math. Appl. 68, No. 11, 1562--1568 (2014; Zbl 1364.65250) Full Text: DOI arXiv
Chan, Jesse; Heuer, Norbert; Bui-Thanh, Tan; Demkowicz, Leszek A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms. (English) Zbl 1350.65120 Comput. Math. Appl. 67, No. 4, 771-795 (2014). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Chan} et al., Comput. Math. Appl. 67, No. 4, 771--795 (2014; Zbl 1350.65120) Full Text: DOI Link
Gatica, Gabriel N.; Heuer, Norbert; Meddahi, Salim Coupling of mixed finite element and stabilized boundary element methods for a fluid-solid interaction problem in 3D. (English) Zbl 1308.74147 Numer. Methods Partial Differ. Equations 30, No. 4, 1211-1233 (2014). Reviewer: Peter A. Velmisov (Ul’yanovsk) MSC: 74S05 74F10 76M15 76Q05 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Numer. Methods Partial Differ. Equations 30, No. 4, 1211--1233 (2014; Zbl 1308.74147) Full Text: DOI Link
Domínguez, Catalina; Heuer, Norbert A posteriori error analysis for a boundary element method with nonconforming domain decomposition. (English) Zbl 1297.65135 Numer. Methods Partial Differ. Equations 30, No. 3, 947-963 (2014). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N15 65N55 65N38 35J05 65N50 PDFBibTeX XMLCite \textit{C. Domínguez} and \textit{N. Heuer}, Numer. Methods Partial Differ. Equations 30, No. 3, 947--963 (2014; Zbl 1297.65135) Full Text: DOI arXiv
Heuer, Norbert; Tran, Thanh A mixed method for Dirichlet problems with radial basis functions. (English) Zbl 1350.65124 Comput. Math. Appl. 66, No. 10, 2045-2055 (2013). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{T. Tran}, Comput. Math. Appl. 66, No. 10, 2045--2055 (2013; Zbl 1350.65124) Full Text: DOI arXiv
Heuer, Norbert; Meddahi, Salim Discontinuous Galerkin \(hp\)-BEM with quasi-uniform meshes. (English) Zbl 1408.65096 Numer. Math. 125, No. 4, 679-703 (2013). MSC: 65N38 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{S. Meddahi}, Numer. Math. 125, No. 4, 679--703 (2013; Zbl 1408.65096) Full Text: DOI arXiv
Heuer, Norbert; Tran, Thanh Radial basis functions for the solution of hypersingular operators on open surfaces. (English) Zbl 1247.65166 Comput. Math. Appl. 63, No. 11, 1504-1518 (2012). MSC: 65R20 45E05 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{T. Tran}, Comput. Math. Appl. 63, No. 11, 1504--1518 (2012; Zbl 1247.65166) Full Text: DOI arXiv
Chouly, Franz; Heuer, Norbert A Nitsche-based domain decomposition method for hypersingular integral equations. (English) Zbl 1250.65148 Numer. Math. 121, No. 4, 705-729 (2012). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65N38 35J05 PDFBibTeX XMLCite \textit{F. Chouly} and \textit{N. Heuer}, Numer. Math. 121, No. 4, 705--729 (2012; Zbl 1250.65148) Full Text: DOI arXiv Link
Heuer, Norbert; Sayas, Francisco-Javier Crouzeix-Raviart boundary elements. (English) Zbl 1171.65086 Numer. Math. 112, No. 3, 381-401 (2009). Reviewer: Ariadna Lucia Pletea (Iaşi) MSC: 65N38 65N30 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{F.-J. Sayas}, Numer. Math. 112, No. 3, 381--401 (2009; Zbl 1171.65086) Full Text: DOI
Araya, Rodolfo; Barrios, Tomás P.; Gatica, Gabriel N.; Heuer, Norbert A posteriori error estimates for a mixed-FEM formulation of a nonlinear elliptic problem. (English) Zbl 0996.65114 Comput. Methods Appl. Mech. Eng. 191, No. 21-22, 2317-2336 (2002). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65N15 65N30 35J65 PDFBibTeX XMLCite \textit{R. Araya} et al., Comput. Methods Appl. Mech. Eng. 191, No. 21--22, 2317--2336 (2002; Zbl 0996.65114) Full Text: DOI
Gatica, Gabriel N.; Heuer, Norbert Minimum residual iteration for a dual-dual mixed formulation of exterior transmission problems. (English) Zbl 1051.65106 Numer. Linear Algebra Appl. 8, No. 3, 147-164 (2001). Reviewer: Jan Zítko (Praha) MSC: 65N30 65N12 65F10 65F35 35J05 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{N. Heuer}, Numer. Linear Algebra Appl. 8, No. 3, 147--164 (2001; Zbl 1051.65106) Full Text: DOI
Gatica, Gabriel N.; Heuer, Norbert An expanded mixed finite element approach via a dual-dual formulation and the minimum residual method. (English) Zbl 1014.65118 J. Comput. Appl. Math. 132, No. 2, 371-385 (2001). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65N30 65F10 65F35 65N15 35J25 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{N. Heuer}, J. Comput. Appl. Math. 132, No. 2, 371--385 (2001; Zbl 1014.65118) Full Text: DOI
Heuer, Norbert; Stephan, Ernst P. Preconditioners for the \(p\)-version of the Galerkin method for a coupled finite element/boundary element system. (English) Zbl 0896.65078 Numer. Methods Partial Differ. Equations 14, No. 1, 49-61 (1998). Reviewer: E.D’yakonov (Moskva) MSC: 65N30 65N38 35J25 65F10 65F35 PDFBibTeX XMLCite \textit{N. Heuer} and \textit{E. P. Stephan}, Numer. Methods Partial Differ. Equations 14, No. 1, 49--61 (1998; Zbl 0896.65078) Full Text: DOI